Jacobian-free Newton Krylov discontinuous Galerkin method and physics-based preconditioning for nuclear reactor simulations

Conference · Mon Sep 01 00:00:00 EDT 2008

OSTI ID:940059

Park, HyeongKae; Nourgaliev, Robert R; Martineau, Richard C; Knoll, Dana A

We present high-order accurate spatiotemporal discretization of all-speed flow solvers using Jacobian-free Newton Krylov framework. One of the key developments in this work is the physics-based preconditioner for the all-speed flow, which makes use of traditional semi-implicit schemes. The physics-based preconditioner is developed in the primitive variable form, which allows a straightforward separation of physical phenomena. Numerical examples demonstrate that the developed preconditioner effectively reduces the number of the Krylov iterations, and the efficiency is independent of the Mach number and mesh sizes under a fixed CFL condition.

• Research Organization: Idaho National Lab. (INL), Idaho Falls, ID (United States)
• Sponsoring Organization: USDOE
• DOE Contract Number: DE-AC07-99ID-13727
• OSTI ID: 940059
• Report Number(s): INL/CON-08-14243; TRN: US0806975
• Resource Relation: Conference: PHYSOR 2008,Interlaken, Switzerland,09/14/2008,09/18/2008
• Country of Publication: United States
• Language: English

Related Subjects

22 GENERAL STUDIES OF NUCLEAR REACTORS
EFFICIENCY
MACH NUMBER
REACTORS
Jacobian-free Newton Krylov
physics-based preconditioning